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Existence and design of observers for two-dimensional linear systems with multiple channel faults

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Abstract

Integrated states/faults observers for two-dimensional (2-D) linear systems, which can simultaneously estimate system states and faults, are studied in this study. Multiple channel faults, occurring in both measurement equation and state equation, are considered. On the basis of the singular system observer method and stability theory, asymptotically stable observers and uniformly ultimately bounded observers are proposed for the 2-D systems. For these two cases, constructive methods for observer design and parameter tuning are further provided. Under different system conditions, the necessary and sufficient conditions for the existence of integrated observers are derived and proved through matrix rank analysis. Finally, two examples are given to demonstrate the performance of the proposed methods.

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Acknowledgements

This study was supported by Shandong Province Science Fund for Distinguished Young Scholars under Grant JQ201812, the National Natural Science Foundation of China under Grant 61751307, Research Fund for the Taishan Scholar Project of Shandong Province of China, and Chinese Scholarship Council (award to Liang Cao for half year’s study at the University of Duisburg-Essen).

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Authors and Affiliations

  1. College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, 100029, China

    Liang Cao & Dong Zhao

  2. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Youqing Wang

  3. Institute for Automatic Control and Complex Systems (AKS), University of Duisburg-Essen, 47057, Duisburg, Germany

    Liang Cao, Dong Zhao & Steven X. Ding

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  1. Liang Cao
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  2. Dong Zhao
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  3. Youqing Wang
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  4. Steven X. Ding
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Correspondence to Youqing Wang.

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Liang Cao and Dong Zhao: co-first authors.

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Cao, L., Zhao, D., Wang, Y. et al. Existence and design of observers for two-dimensional linear systems with multiple channel faults. Multidim Syst Sign Process 30, 641–660 (2019). https://doi.org/10.1007/s11045-018-0574-4

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  • DOI: https://doi.org/10.1007/s11045-018-0574-4

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